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Finding the Fourth Proportional to 4,452.66, 6,678.25 and 1,640.95

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Solution

The fourth proportional to 4,452.66, 6,678.25 and 1,640.95 is: 2,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.66 : 6,678.25 = 1,640.95 : x
  2. Step 2: Convert to fraction form
    4,452.66/6,678.25 = 1,640.95/x
  3. Step 3: Cross multiply
    4,452.66x = 6,678.25 × 1,640.95
  4. Step 4: Simplify right side
    4,452.66x = 10,958,653.54
  5. Step 5: Solve for x
    x = 10,958,653.54/4,452.66
  6. Step 6: Final answer
    x = 2,461.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.